Another School Lottery

Bah, no sooner do I hand in my Confirmation than another controversy arises about school lotteries (to add to my previous examples). I might accept "It's a sad day when a child's education is decided by a lottery" as reflecting the fact it's sad anyone has to go to a bad school, when ideally everyone should be able to get a place in a good school. Given the shortage of supply, however, I'm intrigued by the claim that "It's alright saying a lottery is a fair system but it is only a fair system for those whose names get chosen". Thanks to Nick L for pointing this one out.